Soft Modes, Localization, and Two-Level Systems in Spin Glasses
| dc.contributor.author | Baity Jesi, Marco | |
| dc.contributor.author | Martín Mayor, Víctor | |
| dc.contributor.author | Parisi, G. | |
| dc.contributor.author | Pérez Gaviro, S. | |
| dc.date.accessioned | 2023-06-18T06:49:56Z | |
| dc.date.available | 2023-06-18T06:49:56Z | |
| dc.date.issued | 2015-12-23 | |
| dc.description | © 2015 American Physical Society (APS). We were supported by the European Research Council under the European Unions Seventh Framework Programme (FP7/2007-2013, ERC Grant Agreement No. 247328). We were partially supported by MINECO, Spain, through the research contract No. FIS2012-35719-C02. This work was partially supported by the GDRE 224 CNRS-INdAM GREFI-MEFI. M. B.-J. was supported by the FPU program (Ministerio de Educación, Spain). The authors thankfully acknowledge the resources from the supercomputer “Memento,” and the technical expertise and assistance provided by BIFI-ZCAM (Universidad de Zaragoza). | |
| dc.description.abstract | In the three-dimensional Heisenberg spin glass in a random field, we study the properties of the inherent structures that are obtained by an instantaneous cooling from infinite temperature. For a not too large field the density of states g(ω) develops localized soft plastic modes and reaches zero as ω^4 (for large fields a gap appears). When we perturb the system adding a force along the softest mode, one reaches very similar minima of the energy, separated by small barriers, that appear to be good candidates for classical two-level systems. | |
| dc.description.department | Depto. de Física Teórica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Unión Europea. FP7 | |
| dc.description.sponsorship | Ministerio de Economía y Competitividad (MINECO) | |
| dc.description.sponsorship | Istituto Nazionale di Alta Matematica "F. Severi" (INdAM), Italia | |
| dc.description.sponsorship | Centre national de la recherche scientifique (CNRS), Francia | |
| dc.description.sponsorship | GREFI-MEFI (Gruppo di Ricerca Europeo Franco-Italiano: Fisica e Matematica) | |
| dc.description.sponsorship | Programa de Formación de Profesorado Universitario (FPU), MEC | |
| dc.description.sponsorship | Ministerio de Educación y Ciencia (MEC), España | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/35676 | |
| dc.identifier.doi | 10.1103/PhysRevLett.115.267205 | |
| dc.identifier.issn | 0031-9007 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1103/PhysRevLett.115.267205 | |
| dc.identifier.relatedurl | http://journals.aps.org | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/24341 | |
| dc.issue.number | 26 | |
| dc.journal.title | Physical Review Letters | |
| dc.language.iso | eng | |
| dc.publisher | American Physical Society | |
| dc.relation.projectID | CRIPHERASY (247328) | |
| dc.relation.projectID | FIS2012-35719-C02 | |
| dc.relation.projectID | GDRE 224 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 53 | |
| dc.subject.keyword | Physics | |
| dc.subject.keyword | Multidisciplinary | |
| dc.subject.ucm | Física (Física) | |
| dc.subject.unesco | 22 Física | |
| dc.title | Soft Modes, Localization, and Two-Level Systems in Spin Glasses | |
| dc.type | journal article | |
| dc.volume.number | 115 | |
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The method of the moments returns the full density of states, but it is not precise at the tails. With arpack we can calculate exactly the smallest eigenvalues, but only a small number of them. So, when we want to show the whole spectrum, we need to use the method of the moments, while when we show the softest part of the spectrum we need arpack. 48. The value γ=2.5 is also hypothesized in Ref. [4], through a fourth-order expansion of a single coordinate potential of the minimum of the energy. 49. N. Xu, V. Vitelli, A. J. Liu, and S. R. Nagel, Europhys. Lett. 90, 56001 (2010). 50. E. DeGiuli, E. Lerner, C. Brito, and M. Wyart, Proc. Natl. Acad. Sci. U.S.A. 111, 17054 (2014). 51. P. Charbonneau, E. I. Corwin, G. Parisi, and F. Zamponi, Phys. Rev. Lett. 114, 125504 (2015). 52. Inherent structures that were obtained by relaxing an infinite-temperature configuration. 53. The overlap qif between |s⃗ (IS)⟩ and |IS(ih)⟩ is defined as qif≡(1/N)∑xqif,x, with qif,x=s⃗ (IS)x⋅s⃗ x(ih), where s⃗ x(ih) are the spins of the configuration |IS(ih)⟩. 54. P. W. Anderson, B. I. Halperin, and C. M. Varma, Philos. Mag. 25, 1 (1972). 55. W. Phillips, J. Low Temp. Phys. 7, 351 (1972). 56. W. A. Phillips, Rep. Prog. Phys. 50, 1657 (1987). 57. J. Lisenfeld, G. Grabovskij, C. Mller, J. Cole, G. Weiss, and A. Ustinov, Nat. Commun. 6, 6182 (2015). 58. T. Pérez-Castañeda, R. J. Jiménez-Riobóo, and M. A. Ramos, arXiv:1510.07806 [Philos. Mag. (to be published)]. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 061118c0-eadf-4ee3-8897-2c9b65a6df66 | |
| relation.isAuthorOfPublication.latestForDiscovery | 061118c0-eadf-4ee3-8897-2c9b65a6df66 |
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